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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    package org.apache.commons.math3.geometry.euclidean.threed;<a name="line.17"></a>
<FONT color="green">018</FONT>    <a name="line.18"></a>
<FONT color="green">019</FONT>    import java.util.ArrayList;<a name="line.19"></a>
<FONT color="green">020</FONT>    import java.util.List;<a name="line.20"></a>
<FONT color="green">021</FONT>    <a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math3.exception.MathIllegalArgumentException;<a name="line.22"></a>
<FONT color="green">023</FONT>    import org.apache.commons.math3.geometry.euclidean.oned.Interval;<a name="line.23"></a>
<FONT color="green">024</FONT>    import org.apache.commons.math3.geometry.euclidean.oned.IntervalsSet;<a name="line.24"></a>
<FONT color="green">025</FONT>    import org.apache.commons.math3.geometry.euclidean.oned.Vector1D;<a name="line.25"></a>
<FONT color="green">026</FONT>    import org.apache.commons.math3.geometry.partitioning.Region.Location;<a name="line.26"></a>
<FONT color="green">027</FONT>    <a name="line.27"></a>
<FONT color="green">028</FONT>    /** This class represents a subset of a {@link Line}.<a name="line.28"></a>
<FONT color="green">029</FONT>     * @version $Id: SubLine.java 1416643 2012-12-03 19:37:14Z tn $<a name="line.29"></a>
<FONT color="green">030</FONT>     * @since 3.0<a name="line.30"></a>
<FONT color="green">031</FONT>     */<a name="line.31"></a>
<FONT color="green">032</FONT>    public class SubLine {<a name="line.32"></a>
<FONT color="green">033</FONT>    <a name="line.33"></a>
<FONT color="green">034</FONT>        /** Underlying line. */<a name="line.34"></a>
<FONT color="green">035</FONT>        private final Line line;<a name="line.35"></a>
<FONT color="green">036</FONT>    <a name="line.36"></a>
<FONT color="green">037</FONT>        /** Remaining region of the hyperplane. */<a name="line.37"></a>
<FONT color="green">038</FONT>        private final IntervalsSet remainingRegion;<a name="line.38"></a>
<FONT color="green">039</FONT>    <a name="line.39"></a>
<FONT color="green">040</FONT>        /** Simple constructor.<a name="line.40"></a>
<FONT color="green">041</FONT>         * @param line underlying line<a name="line.41"></a>
<FONT color="green">042</FONT>         * @param remainingRegion remaining region of the line<a name="line.42"></a>
<FONT color="green">043</FONT>         */<a name="line.43"></a>
<FONT color="green">044</FONT>        public SubLine(final Line line, final IntervalsSet remainingRegion) {<a name="line.44"></a>
<FONT color="green">045</FONT>            this.line            = line;<a name="line.45"></a>
<FONT color="green">046</FONT>            this.remainingRegion = remainingRegion;<a name="line.46"></a>
<FONT color="green">047</FONT>        }<a name="line.47"></a>
<FONT color="green">048</FONT>    <a name="line.48"></a>
<FONT color="green">049</FONT>        /** Create a sub-line from two endpoints.<a name="line.49"></a>
<FONT color="green">050</FONT>         * @param start start point<a name="line.50"></a>
<FONT color="green">051</FONT>         * @param end end point<a name="line.51"></a>
<FONT color="green">052</FONT>         * @exception MathIllegalArgumentException if the points are equal<a name="line.52"></a>
<FONT color="green">053</FONT>         */<a name="line.53"></a>
<FONT color="green">054</FONT>        public SubLine(final Vector3D start, final Vector3D end)<a name="line.54"></a>
<FONT color="green">055</FONT>            throws MathIllegalArgumentException {<a name="line.55"></a>
<FONT color="green">056</FONT>            this(new Line(start, end), buildIntervalSet(start, end));<a name="line.56"></a>
<FONT color="green">057</FONT>        }<a name="line.57"></a>
<FONT color="green">058</FONT>    <a name="line.58"></a>
<FONT color="green">059</FONT>        /** Create a sub-line from a segment.<a name="line.59"></a>
<FONT color="green">060</FONT>         * @param segment single segment forming the sub-line<a name="line.60"></a>
<FONT color="green">061</FONT>         * @exception MathIllegalArgumentException if the segment endpoints are equal<a name="line.61"></a>
<FONT color="green">062</FONT>         */<a name="line.62"></a>
<FONT color="green">063</FONT>        public SubLine(final Segment segment) throws MathIllegalArgumentException {<a name="line.63"></a>
<FONT color="green">064</FONT>            this(segment.getLine(), buildIntervalSet(segment.getStart(), segment.getEnd()));<a name="line.64"></a>
<FONT color="green">065</FONT>        }<a name="line.65"></a>
<FONT color="green">066</FONT>    <a name="line.66"></a>
<FONT color="green">067</FONT>        /** Get the endpoints of the sub-line.<a name="line.67"></a>
<FONT color="green">068</FONT>         * &lt;p&gt;<a name="line.68"></a>
<FONT color="green">069</FONT>         * A subline may be any arbitrary number of disjoints segments, so the endpoints<a name="line.69"></a>
<FONT color="green">070</FONT>         * are provided as a list of endpoint pairs. Each element of the list represents<a name="line.70"></a>
<FONT color="green">071</FONT>         * one segment, and each segment contains a start point at index 0 and an end point<a name="line.71"></a>
<FONT color="green">072</FONT>         * at index 1. If the sub-line is unbounded in the negative infinity direction,<a name="line.72"></a>
<FONT color="green">073</FONT>         * the start point of the first segment will have infinite coordinates. If the<a name="line.73"></a>
<FONT color="green">074</FONT>         * sub-line is unbounded in the positive infinity direction, the end point of the<a name="line.74"></a>
<FONT color="green">075</FONT>         * last segment will have infinite coordinates. So a sub-line covering the whole<a name="line.75"></a>
<FONT color="green">076</FONT>         * line will contain just one row and both elements of this row will have infinite<a name="line.76"></a>
<FONT color="green">077</FONT>         * coordinates. If the sub-line is empty, the returned list will contain 0 segments.<a name="line.77"></a>
<FONT color="green">078</FONT>         * &lt;/p&gt;<a name="line.78"></a>
<FONT color="green">079</FONT>         * @return list of segments endpoints<a name="line.79"></a>
<FONT color="green">080</FONT>         */<a name="line.80"></a>
<FONT color="green">081</FONT>        public List&lt;Segment&gt; getSegments() {<a name="line.81"></a>
<FONT color="green">082</FONT>    <a name="line.82"></a>
<FONT color="green">083</FONT>            final List&lt;Interval&gt; list = remainingRegion.asList();<a name="line.83"></a>
<FONT color="green">084</FONT>            final List&lt;Segment&gt; segments = new ArrayList&lt;Segment&gt;();<a name="line.84"></a>
<FONT color="green">085</FONT>    <a name="line.85"></a>
<FONT color="green">086</FONT>            for (final Interval interval : list) {<a name="line.86"></a>
<FONT color="green">087</FONT>                final Vector3D start = line.toSpace(new Vector1D(interval.getInf()));<a name="line.87"></a>
<FONT color="green">088</FONT>                final Vector3D end   = line.toSpace(new Vector1D(interval.getSup()));<a name="line.88"></a>
<FONT color="green">089</FONT>                segments.add(new Segment(start, end, line));<a name="line.89"></a>
<FONT color="green">090</FONT>            }<a name="line.90"></a>
<FONT color="green">091</FONT>    <a name="line.91"></a>
<FONT color="green">092</FONT>            return segments;<a name="line.92"></a>
<FONT color="green">093</FONT>    <a name="line.93"></a>
<FONT color="green">094</FONT>        }<a name="line.94"></a>
<FONT color="green">095</FONT>    <a name="line.95"></a>
<FONT color="green">096</FONT>        /** Get the intersection of the instance and another sub-line.<a name="line.96"></a>
<FONT color="green">097</FONT>         * &lt;p&gt;<a name="line.97"></a>
<FONT color="green">098</FONT>         * This method is related to the {@link Line#intersection(Line)<a name="line.98"></a>
<FONT color="green">099</FONT>         * intersection} method in the {@link Line Line} class, but in addition<a name="line.99"></a>
<FONT color="green">100</FONT>         * to compute the point along infinite lines, it also checks the point<a name="line.100"></a>
<FONT color="green">101</FONT>         * lies on both sub-line ranges.<a name="line.101"></a>
<FONT color="green">102</FONT>         * &lt;/p&gt;<a name="line.102"></a>
<FONT color="green">103</FONT>         * @param subLine other sub-line which may intersect instance<a name="line.103"></a>
<FONT color="green">104</FONT>         * @param includeEndPoints if true, endpoints are considered to belong to<a name="line.104"></a>
<FONT color="green">105</FONT>         * instance (i.e. they are closed sets) and may be returned, otherwise endpoints<a name="line.105"></a>
<FONT color="green">106</FONT>         * are considered to not belong to instance (i.e. they are open sets) and intersection<a name="line.106"></a>
<FONT color="green">107</FONT>         * occurring on endpoints lead to null being returned<a name="line.107"></a>
<FONT color="green">108</FONT>         * @return the intersection point if there is one, null if the sub-lines don't intersect<a name="line.108"></a>
<FONT color="green">109</FONT>         */<a name="line.109"></a>
<FONT color="green">110</FONT>        public Vector3D intersection(final SubLine subLine, final boolean includeEndPoints) {<a name="line.110"></a>
<FONT color="green">111</FONT>    <a name="line.111"></a>
<FONT color="green">112</FONT>            // compute the intersection on infinite line<a name="line.112"></a>
<FONT color="green">113</FONT>            Vector3D v1D = line.intersection(subLine.line);<a name="line.113"></a>
<FONT color="green">114</FONT>    <a name="line.114"></a>
<FONT color="green">115</FONT>            // check location of point with respect to first sub-line<a name="line.115"></a>
<FONT color="green">116</FONT>            Location loc1 = remainingRegion.checkPoint(line.toSubSpace(v1D));<a name="line.116"></a>
<FONT color="green">117</FONT>    <a name="line.117"></a>
<FONT color="green">118</FONT>            // check location of point with respect to second sub-line<a name="line.118"></a>
<FONT color="green">119</FONT>            Location loc2 = subLine.remainingRegion.checkPoint(subLine.line.toSubSpace(v1D));<a name="line.119"></a>
<FONT color="green">120</FONT>    <a name="line.120"></a>
<FONT color="green">121</FONT>            if (includeEndPoints) {<a name="line.121"></a>
<FONT color="green">122</FONT>                return ((loc1 != Location.OUTSIDE) &amp;&amp; (loc2 != Location.OUTSIDE)) ? v1D : null;<a name="line.122"></a>
<FONT color="green">123</FONT>            } else {<a name="line.123"></a>
<FONT color="green">124</FONT>                return ((loc1 == Location.INSIDE) &amp;&amp; (loc2 == Location.INSIDE)) ? v1D : null;<a name="line.124"></a>
<FONT color="green">125</FONT>            }<a name="line.125"></a>
<FONT color="green">126</FONT>    <a name="line.126"></a>
<FONT color="green">127</FONT>        }<a name="line.127"></a>
<FONT color="green">128</FONT>    <a name="line.128"></a>
<FONT color="green">129</FONT>        /** Build an interval set from two points.<a name="line.129"></a>
<FONT color="green">130</FONT>         * @param start start point<a name="line.130"></a>
<FONT color="green">131</FONT>         * @param end end point<a name="line.131"></a>
<FONT color="green">132</FONT>         * @return an interval set<a name="line.132"></a>
<FONT color="green">133</FONT>         * @exception MathIllegalArgumentException if the points are equal<a name="line.133"></a>
<FONT color="green">134</FONT>         */<a name="line.134"></a>
<FONT color="green">135</FONT>        private static IntervalsSet buildIntervalSet(final Vector3D start, final Vector3D end)<a name="line.135"></a>
<FONT color="green">136</FONT>            throws MathIllegalArgumentException {<a name="line.136"></a>
<FONT color="green">137</FONT>            final Line line = new Line(start, end);<a name="line.137"></a>
<FONT color="green">138</FONT>            return new IntervalsSet(line.toSubSpace(start).getX(),<a name="line.138"></a>
<FONT color="green">139</FONT>                                    line.toSubSpace(end).getX());<a name="line.139"></a>
<FONT color="green">140</FONT>        }<a name="line.140"></a>
<FONT color="green">141</FONT>    <a name="line.141"></a>
<FONT color="green">142</FONT>    }<a name="line.142"></a>




























































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